A REPRESENTATION OF SPECIALIZED BIRMAN-WENZL-MURAKAMI ALGEBRA AND BERRY PHASE IN YANG-BAXTER SYSTEM

被引：2

作者：

Gou, Lidan ^{[1
,2
]}

机构：

[1] NE Normal Univ, Sch Phys, Changchun 130024, Peoples R China

[2] Changchun Univ Sci & Technol, Sch Sci, Changchun 130022, Peoples R China

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2010年 / 8卷 / 07期

关键词：

Birman-Wenzl-Murakami algebra; Yang-Baxter equation; Berry phase; BRAID GROUP-REPRESENTATIONS; DELTA-FUNCTION INTERACTION; BODY PROBLEM; R-MATRIX; BAXTERIZATION; ENTANGLEMENT;

D O I：

10.1142/S0219749910006320

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present an S-matrix, a solution of the braid relation. A matrix representation of specialized Birman-Wenzl-Murakami algebra is obtained. Based on which, a unitary R-matrix is generated via the Yang-Baxterization approach. Then we construct a Yang-Baxter Hamiltonian through the unitary R-matrix. Berry phase of this Yang-Baxter system is investigated in detail.

引用

页码：1187 / 1197

页数：11